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Finding the Fourth Proportional to 389.80, 587.14 and 354.16

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Solution

The fourth proportional to 389.80, 587.14 and 354.16 is: 533.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.80 : 587.14 = 354.16 : x
  2. Step 2: Convert to fraction form
    389.80/587.14 = 354.16/x
  3. Step 3: Cross multiply
    389.80x = 587.14 × 354.16
  4. Step 4: Simplify right side
    389.80x = 207,941.50
  5. Step 5: Solve for x
    x = 207,941.50/389.80
  6. Step 6: Final answer
    x = 533.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.